Oriented Algebras and the Hochschild Cohomology Group

被引：0
|
作者：
Koam, Ali N. A. [1 ]
机构：
[1] Jazan Univ, Coll Sci, Dept Math, New Campus, Jazan 2097, Saudi Arabia
来源：
MATHEMATICS | 2018年 / 6卷 / 11期
关键词：
group cohomology; hochschild cohomology; oriented algebras;
D O I：
10.3390/math6110237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Koam and Pirashivili developed the equivariant version of Hochschild cohomology by mixing the standard chain complexes computing group with associative algebra cohomologies to obtain the bicomplex (C) over tilde (G)*(A, X). In this paper, we form a new bicomplex (sic)(G)* (A, X) by deleting the first column and the first row and reindexing. We show that (1)((sic)G) (A, X) classifies the singular extensions of oriented algebras.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] HOCHSCHILD COHOMOLOGY OF GENERALIZED MULTICOIL ALGEBRAS
    Malicki, Piotr
    Skowronski, Andrzej
    COLLOQUIUM MATHEMATICUM, 2014, 136 (02) : 231 - 254
  • [22] Hochschild cohomology of special biserial algebras
    Yun-ge Xu
    Science in China Series A: Mathematics, 2007, 50 : 1117 - 1128
  • [23] The Hochschild cohomology ring of monomial algebras
    Artenstein, Dalia
    Letz, Janina C.
    Oswald, Amrei
    Solotar, Andrea
    JOURNAL OF ALGEBRA, 2024, 654 : 108 - 131
  • [24] The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras
    Murphy, William
    ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (06) : 2801 - 2818
  • [25] Hochschild cohomology of truncated quiver algebras
    Locateli, AC
    COMMUNICATIONS IN ALGEBRA, 1999, 27 (02) : 645 - 664
  • [26] Tate–Hochschild cohomology for periodic algebras
    Satoshi Usui
    Archiv der Mathematik, 2021, 116 : 647 - 657
  • [27] On the Hochschild cohomology of tame Hecke algebras
    Karin Erdmann
    Sibylle Schroll
    Archiv der Mathematik, 2010, 94 : 117 - 127
  • [28] ON THE HOCHSCHILD COHOMOLOGY OF FINITE DIMENSIONAL ALGEBRAS
    CIBILS, C
    COMMUNICATIONS IN ALGEBRA, 1988, 16 (03) : 645 - 649
  • [29] Hochschild cohomology of relation extension algebras
    Assem, Ibrahim
    Gatica, Maria Andrea
    Schiffler, Ralf
    Taillefer, Rachel
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (07) : 2471 - 2499
  • [30] On the first Hochschild cohomology of admissible algebras
    Fang Li
    Dezhan Tan
    Chinese Annals of Mathematics, Series B, 2015, 36 : 1027 - 1042
12345